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Finding the Third Proportional to 143,848 and 319,132

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Solution

The third proportional to 143,848 and 319,132 is: 708,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,848 : 319,132 = 319,132 : x
  2. Step 2: Convert to fraction form
    143,848/319,132 = 319,132/x
  3. Step 3: Cross multiply
    143,848x = 319,132 × 319,132
  4. Step 4: Simplify right side
    143,848x = 101,845,233,424
  5. Step 5: Solve for x
    x = 101,845,233,424/143,848
  6. Step 6: Final answer
    x = 708,005.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.